1

PRESENTATION COLLEGE SAN FERNANDO

MATHEMATICSFORM 4TERM 1 EXAMINATION FRIDAY 27TH NOVEMBER 2014 (PM)TIME: 2hrs

INSTRUCTIONS:You are required to answer all the questions in Section I of this paper.You will attempt only one question from Section II

Read the instructions for Section II carefully

You can use calculators during this examination

SECTION 1

Answer ALL the questions in this section. All working must be clearly shown and diagrams neatly drawn.1.(a)Using a calculator, or otherwise, evaluate

writing your answer correct to 3 decimal places (3 marks)(b)

Kim has two telephones. One is cellular and the other is a land line. The rates for local calls are shown in the table below.IiRatesType of Telephone

CellularLand Line

Monthly Rental Fee$0$45

Charge per minute on calls made85 cents15 cents

( i ) In one month, calls were made lasting for a total of 1 hour and 5 minutes. Show by calculations, that the cost for using the land line telephone was less than the cost for using the cellular telephone.(ii)For the month of March, the land line telephone was used, and the bill was $54.60. Calculate the total time, in minutes, for which the calls lasted.

(8 marks)Total: 11 marks2. (a) Given that 2p r = -- q - 3 (i) calculate the value of r when p = 6 and q = 12. (ii ) rearrange the formula to make q the subject. (4 marks) (b) Factorize completely(i) 3g - 3t + 2mg - 2mt(ii) 3x2 + 2 x - 8 (iii) 3x2 - 27 (6 marks)(c) Given that y varies inversely as x, use the values of x and y from the following table to calculate the value of a. (2 marks)Total: 1 2 marks3.(a)32 candidates took examinations at a CXC examinations centre.

1 1 took French (F) 9 took Spanish (S)

x took both French and Spanish 18 took neither French nor Spanish

3 (i) Copy and complete the following Venn diagram to represent the information .

U (ii) Write an equation in x for the number of candidates in the universal set.

( iii) Calculate the value of x.(iv) Shade the region F' n S. ( 6 marks)

Total (12 marks)

4 (b)

(c) Total: 12 marks5

SECTION IIStudents in Mr Bassaraths 4E class must do Question 7 only and leave out question 6Students in 4P, 4R and 4S must do question 6 only and leave out question 76. (a). The line passes through the points S ( 6, 6) and T (0, -2). Determine

(i) the gradient of the line, (2marks)

(ii) the equation of the line, (2marks)

(iii) the midpoint of the line segment, TS (1 mark)

(iv) the length of the line segment, TS. (2marks)

Total: 13 marks7. Total: 13 marks